Symmetric Spaces of Matter and Real Fermion Manifolds |
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Authors: | Bernd Schmeikal |
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Institution: | (1) Am Platzl 1, A-4451 Garsten, Austria |
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Abstract: | The geometric algebra Cl3,1 generated by the Minkowski spacetime with signature {+++− } possesses a natural ternary partition which provides the Lie
algebra of the standard model symmetry in an improved form. The symmetric spaces of matter embed a differentiable manifold
of primitive idempotents which represents a real valued fermion space as an 8-dimensional real unitsphere in a 10-dimensional
subspace with positive definite signature. The algebraic properties of the present theory of spacetime-matter are developed,
beginning with the definiteness of the stabilizer algebra of neutrinos, investigating the orthogonality between fermions and
neutrinos and ending with the curvature of the symmetric spaces of the strong force. The model brings together the quantum
theory and relativity, as we conceive it at present, such that the standard model turns out to be a definite property of the
spacetime algebra. |
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Keywords: | , |
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